Small and big circle

Geometry Level pending

A circle of radius 4 4 is externally tangent to a circle of radius 9 9 . A line is tangent to both circles and touches them at points A A and B B . Find the length of A B AB .


The answer is 12.

A Former Brilliant Member by A Former Brilliant Member

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

By the pythagorean theorem,

A B = 1 3 2 − 5 2 = AB=\sqrt{13^2-5^2}= 12 \large{\color{#D61F06}\boxed{12}}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...